Binomial sums via Bailey's cubic transformation

DOI10.21136/cmj.2023.0429-22OpenAlexW4376609955MaRDI QIDQ6177947

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Publication date: 18 January 2024

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/cmj.2023.0429-22

zbMATH Keywords

hypergeometric seriesbinomial coefficientcontiguous relationBailey's cubic transformationreversal series

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Generalized hypergeometric series, ({}_pF_q) (33C20)

Cites Work

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• Identities on extended Catalan numbers and their \(q\)-analogs
• Inversion techniques and combinatorial identities: Balanced hypergeometric series.
• Further identities on Catalan numbers
• Finding identities with the WZ method
• Binomial sums involving Catalan numbers
• Alternating convolutions of Catalan numbers
• Terminating ₂𝐹₁(4)-series perturbed by two integer parameters
• Strange Evaluations of Hypergeometric Series
• Closed formulae for a class of terminating 3F2(4)-series

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